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Generalized Dobrushin Coefficients on Banach Spaces

Abstract

The asymptotic behavior of iterates of bounded linear operators (not necessarily positive), acting on Banach spaces, is studied. Through the Dobrushin ergodicity coefficient, we generalize some ergodic theorems obtained earlier for classical Markov semigroups acting on L1 (or positive operators on abstract state spaces).

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Bulletin of the Iranian Mathematical Society no. 48, pages 1691 - 1709,
ISSN: 1017-060X
Language:
English
Publication year:
2022
Bibliographic description:
Bartoszek W., Beśka M., Florek W.: Generalized Dobrushin Coefficients on Banach Spaces// Bulletin of the Iranian Mathematical Society -Vol. 48, (2022), s.1691-1709
DOI:
Digital Object Identifier (open in new tab) 10.1007/s41980-021-00600-z
Verified by:
Gdańsk University of Technology

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